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A hybrid kinetic weno scheme for compressible flow simulations
Liu HW(刘洪伟); Yu ZP(于长平); Li XL(李新亮)
2018-10
会议名称The Tenth International Conference on Computational Fluid Dynamics (ICCFD10)
会议日期July 9-13, 2018
会议地点Barcelona,Spain
会议录名称Proeedings of The Tenth International Conference on Computational Fluid Dynamics
页码ICCFD10-2018-0015
摘要

In this study, a new family of rational mapping functions gRM (ω; k, m, s) is introduced for seventh order WENO schemes. gRM is a more general family of mapping functions which includes other mapping functions such as gM [1] and gIM [2] as special cases. The mapped WENO scheme WENO-IM(2,0.1) which uses gIM (ω; 2, 0.1) performs excellently at fth order but rather poorly at seventh order. The reason for this loss of accuracy was found to be the over-amplication of very small weights by the mapping process which can be traced back to the large slope of gIM (ω; 2, 0.1) at ω = 0. For m > 1, gRM can be designed to have unit slope at ω = 0 which will preserve small weights with little to no amplication. It has been demonstrated through several linear advection test cases that the mapped WENO scheme WENO-RM(4,4,40) which uses the mapping function gRM (ω; 4, 4, 20) outperforms both WENO-M and WENO-IM(2,0.1) at seventh order.

关键词Hyperbolic Problems Finite Volume High Order Mapped Weno
语种英语
文献类型会议论文
条目标识符http://dspace.imech.ac.cn/handle/311007/78029
专题高温气体动力学国家重点实验室
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Liu HW,Yu ZP,Li XL. A hybrid kinetic weno scheme for compressible flow simulations[C],2018:ICCFD10-2018-0015.
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